Projection of straight lineLine inclined to both HP & VPType-IGiven projections (FV & TV) of the line. To find True length & true inclination of the line with HP () and with VP().End A of a line AB is 15mm above HP & 20mm in front of VP while its end B is 50mm above HP and 75mm in front of VP. The distance between end projectors of the line is 50mm. Draw projections of the line and find its true length and true inclination with the principal planes. Also mark its traces.PROBLEM

aXYa15205050b75b1 b1 b2 b2TLTLhHTvVTb: True inclination of the line with HP = 24 : Inclination of FV of the line with HP/XY: True inclination of the line with VP = 41 : Inclination of TV of the line with VP/XY

Type IIGiven (i) T.L., and , (ii) T.L., F.V., T.V. to draw projections, find , ,H.T. and V.T.Line inclined to both HP & VPPROBLEMA line AB, 70mm long, has its end A 15mm above HP and 20mm in front of VP. It is inclined at 30 to HP and 45to VP. Draw its projections and mark its traces.

XY15a2070b1ab2703045b1bbb2hHTvVT

Q10.11 The top view of a 75mm long line AB measures 65mm,while its front view measures 50mm. Its one end A is in HP and12mm in front of VP. Draw the projections of AB and determine its inclination with HP and VPXYa12ab1Hint: Draw ab1=65mm // to XY. Because when TV is // to XY, FV gives TL.75b1b506565b75b2Given,TL=75mm,TV=65mm,FV=50mmA is in HP & 12mmVPTo draw FV &TV of the line ABTo find & 3149Ans. =31Ans. =49

Q10.12 A line AB, 65mm long has its end A 20mm above H.P. and 25mm in front of VP. The end B is 40mm above H.P. and 65mm in front of V.P. Draw the projections of AB and show its inclination with H.P. and V.P.XY20a 25a4065Given,TL=65mmA is 20mm HP & 25mm V.P. B is 40mm & 65mm V.P.To draw FV &TV of the line ABTo find & Hint1:Mark a 20mm above H.P & a 25mm below XY Hint2:Draw locus of b 40mm above XY & locus of b 65 mm below XY65b1b1bbb2b2651838Ans. =18Ans. =38

Q10.13:The projectors of the ends of a line AB are 5cm apart. The end A is 2cm above the H.P and 3cm in front of V.P. The end B is1cm below H.P. and 4cm behind the V.P. Determine the true length and traces of AB, and its inclination with the two planesXY5020a 30a40b10b b191Ans. =2020b2b250Ans. =50hHTvVTGiven,A0B0=50mm A is 20mm HP & 30mm V.P. B is 10mm & 40mm V.P.To find, True Length, ,, H.T. and V.T.

Q10.14:A line AB, 90mm long, is inclined at 45 to the H.P. and its top view makes an angle of 60 with the V.P. The end A is in the H.P. and 12mm in front of V.P. Draw its front view and find its true inclination with the V.P.YXaa129045b1b160bb Given,T.L.=90mm, =45, =60 A is in the H.P. & 12mmV.P. To find/draw,F.V.,T.V. & 90b238Ans. = 38

Q10.16:The end A of a line AB is 25 mm behind the V.P. and is below the H.P. The end B is 12 mm in front of the VP and is above the HP The distance between the projectors is 65mm. The line is inclined at 40 to the HP and its HT is 20 mm behind the VP. Draw the projections of the line and determine its true length and the VTXYGiven,A0B0=65mm A is 25mm V.P.& is H.P. B is 12mm V.P. & is above HP = 40To find/draw,F.V., T.V., T.L., VT25a6512b20HThb140b1b avVTb2b2

10.17:A line AB, 90mm long, is inclined at 30 to the HP. Its end A is 12mm above the HP and 20mm in front of the VP. Its FV measures 65mm. Draw the TV of AB and determine its inclination with the VPXY12a20a9030b165b b1b90b244Ans: = 44

Q10.23:Two lines AB & AC make an angle of 120 between them in their FV & TV. AB is parallel to both the HP & VP. Determine the real angle between AB & AC.XYcb aba120c120c1c1c2c2112CAns. 112

Q8:A line AB 65 mm long has its end A in the H.P. & 15 mm infront of the V.P.The end B is in the third quadrant. The line is inclined at 30 to the H.P. and at 60 to the V.P. Draw its projections.

Q10.19 A line AB, inclined at 40 to the V.P. has its end 50mm and 20mm above the H.P. the length of its front view is 65mm and its V.T. is 10mm above the H.P. determine .the true length of AB its inclination with the H.P. and its H.T. Given, = 40, A is 20mmHP, B is 50 mm HP, FV=65mm, VT is 10mm HPTo find,TL, & HTXY50b20a10VThb2v40b2bab1b18521HTAns,TL = 85 mm, = 21 & HT is 17 mm behind VP

Q6. The top view of a 75mm long line CD measures 50 mm. C is 50 mm in front of the VP & 15mm below the HP. D is 15 mm in front of the VP & is above the HP. Draw the FV of CD & find its inclinations with the HP and the VP. Show also its traces.XY1550Given,TL = 75 mm, FV =50 mm, C is 15mm HP & 50 mm VP, D is 15 mm VPTo draw,FV & to find & ccLocus of DHint 1: Cut anarc of 50 mm from c on locus of DdHint 2: Make TV (cd), // to XY so that FV will give TLd1d1d=48Ans: =48d25075=28Ans: =28

Q10.10 A line PQ 100 mm long is inclined at 30 to the H.P. and at 45 to the V.P. Its mid point is in the V.P. and 20 mm above the H.P. Draw its projections, if its end P is in the third quadrant and Q is in the first quadrant.Given,TL = 100, = 30, Mid point M is 20mmHP & in the VP End P in third quadrant & End Q in first quadrantTo draw,FV & TVXY20mm30q1p1505050q2p250q2qpqpq2p1p2